Lattice statics applied to vacancy-screw dislocation interactions in cubic metals

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Abstract
The interaction of point defects in a model harmonic cubic crystal has been analysed from a lattice statics point of view by Hardy and Bullough (1967 a, 1967 b), and their results are in serious disagreement with the corresponding results of elasticity theory. Here we extend their work to include the interaction of point defects with line defects by considering specifically the interaction of a vacancy with a screw dislocation in certain cubic metals. Results are presented for potassium and α-iron and three model b.c.c. crystals which are expected to be falid except in the region of close interdefect separations. The model crystals were designed to show the effect of elastic isotropy, and the results for these crystals show that while elastic isotropy considerably reduces the range of the vacancy-screw dislocation interaction, this interaction does not vanish as predicted by linear elasticity theory.